You are helping your dad build a rectangular dog park. The length of the dog park in feet can be represented by 8 + 2 and the width in feet can be represented by 2 − 12. If your dad bought 160 feet of fencing (perimeter), what is the length of the dog park and what is the width of the dog park?

74 feet and 6 feet

Step-by-step explanation:

Mentioned that

The  Length of the dog park is = (8x + 2)(i)

And,

The Width of the park is = (2x -12)(ii)

Perimeter = 160 feet

Now here we use the perimeter formula which is

Perimeter is

= 2 (length + width)

160 = 2 (8x + 2 + 2x - 12)

160 = 2 (10x - 10)

160 = 20x - 20

180 = 20x

x = 9

Now put the x value into the equation 1 and equaton 2

For the equaton 1, the length us

= 8x + 2

= 8(9) + 2

= 74 feet

And, the width is

= 2x - 12

= 2(9) - 12

= 18 - 12

= 6 feet

a=r

d=q

c=p

b=s

hope this !

he used the algebra tiles correctly.

step-by-step explanation:

given : 3x(2x-1)

solution :

since he used algebra tiles .

armando's solution is the same in the solution shown in figure

as he distributed 2x into x and x and wrote them vertically

and also write   -1 vertically

and 3x into x and x and x and wrote it horizontally

performing the multiplication in the algebra tiles we get

and solving the given expression :

3x(2x-1)

since solving the expression using tiles   and solving the expression algebraically we get the same answer

thus   we can choose the first statement as the answer to this problem which is "he used the algebra tiles correctly".